Problem $1(20$ points$)$: Write an interactive C program that

ask a user to enter an integer number that is greater than or equal to $0.$ Your program

will continue asking until a user enters a zero or a positive integer.

find, and print with $7$ digits after a decimal point, the result of

$\frac{1}{12}-\frac{1}{23}+\frac{1}{34}-\frac{1}{45}+$cdots$+\frac{(-1{)}^N}{(N+1)(N+2)}$

$,$ ask a user whether he$/$she wants to continue $(n$ for No$).$

You must write and use, in your code, the following function: double myfunc$($int $N)$;

The function is used to calculate and return the result of the series given above.

For example, when $N=5,$ the result is

$\frac{1}{12}-\frac{1}{23}+\frac{1}{34}-\frac{1}{45}+\frac{1}{56}-\frac{1}{67}=0\mathrm{.}3761905$

Sample code execution: bold text indicates information entered by a user

Enter an integer $0$:$-1$

Enter an integer $0$:$-100$

Enter an integer $0$:$-2$

Enter an integer $0$:$-5$

Enter an integer $0$:$0.$ for N $=0,$ sum of series is $0\mathrm{.}5000000$

Do you want to continue $($n for No$)?$ y

Enter an integer $>=0$: $5$

for N $=5,$ sum of series is $0\mathrm{.}3761905$

Do you want to continue $($n for No$)?$ s

Enter an integer $>=0$: $-2$

Enter an integer $>=0$: $234$

for N $=234,$ sum of series is $0\mathrm{.}3863033$

Do you want to continue $($n for No$)?$ a

Enter an integer $>=0$: $9999$

for N $=9999,$ sum of series is $0\mathrm{.}386294$

Do you want to continue $($n for No$)?$ q